Abstract:
Some weak type estimates for some operators on Hardy spaces associated with the homogeneous group are discussed. A size estimate of the kernel is obtained by using the condition of kernel. Using the method of atomic decomposition and maximal function, the convolution operator is proved to be bounded from Hp to weak-Lp. As an application, weak type endpoint estimates are obtained for the maximal operators arising from the generalized Bochner-Riesz means and the spherical means on Hardy spaces.
